Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems

IP Duff, P Kürschner - Linear Algebra and its Applications, 2021 - Elsevier
In this paper, balancing based model order reduction (MOR) for large-scale linear discrete-
time time-invariant systems in prescribed finite time intervals is studied. The first main topic is …

[HTML][HTML] Model reduction for second-order systems with inhomogeneous initial conditions

J Przybilla, IP Duff, P Benner - Systems & Control Letters, 2024 - Elsevier
In this paper, we consider the problem of finding surrogate models for large-scale second-
order linear time-invariant systems with inhomogeneous initial conditions. For this class of …

[PDF][PDF] MODEL ORDER REDUCTION METHODS FOR COUPLED MACHINE TOOL MODELS.

J Vettermann, S Sauerzapf, A Naumann… - MM Science …, 2021 - researchgate.net
Thermal effects are the most dominant source for displacements in machine tools and thus
workpiece inaccuracies during the manufacturing process. A promising strategy to meet the …

Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians

Y Li, Y Jiang, P Yang - Applied Mathematics and Computation, 2022 - Elsevier
Based on the approximate finite-time Gramians, this paper studies model order reduction
method of port-Hamiltonian systems with inhomogeneous initial conditions. The …

Improved model order reduction techniques with error bounds

S Bashrat, M Imran, S Akram, A Wakeel… - … Journal of Systems …, 2024 - Taylor & Francis
This paper introduces two enhanced model order reduction techniques designed for
scenarios involving frequency-weighted and frequency-limited-interval Gramians in the …

On the input-output behavior of a geothermal energy storage: Approximations by model order reduction

PH Takam, R Wunderlich - arXiv preprint arXiv:2209.14761, 2022 - arxiv.org
In this paper we consider a geothermal energy storage in which the spatio-temporal
temperature distribution is modeled by a heat equation with a convection term. Such …

A dynamic mode decomposition based reduced-order model for parameterized time-dependent partial differential equations

Y Lin, Z Gao, Y Chen, X Sun - Journal of Scientific Computing, 2023 - Springer
We propose a reduced-order model (ROM) based on dynamic mode decomposition (DMD)
for efficient reduced-order modeling of parameterized time-dependent partial differential …

Model order reduction for the input–output behavior of a geothermal energy storage

PH Takam, R Wunderlich - Journal of Engineering Mathematics, 2024 - Springer
In this article, we consider a geothermal energy storage system in which the spatio-temporal
temperature distribution is modeled by a heat equation with a time-dependent convection …

Fictitious input–output matrices‐based frequency limited model reduction of continuous‐time systems

K Kanchan, D Kumar, B Sonker - Asian Journal of Control, 2025 - Wiley Online Library
The frequency‐limited model order reduction (FLMR) problem considers the model
approximation within a desired frequency interval. It is observed that some of the existing …

Sensitivity analysis of random linear differential–algebraic equations using system norms

R Pulch, A Narayan, T Stykel - Journal of Computational and Applied …, 2021 - Elsevier
We consider linear dynamical systems composed of differential–algebraic equations
(DAEs), where a quantity of interest (QoI) is assigned as output. Physical parameters of a …